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Finding the Fourth Proportional to 72,709.22, 109,051.50 and 20,106.40

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Solution

The fourth proportional to 72,709.22, 109,051.50 and 20,106.40 is: 30,156.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,709.22 : 109,051.50 = 20,106.40 : x
  2. Step 2: Convert to fraction form
    72,709.22/109,051.50 = 20,106.40/x
  3. Step 3: Cross multiply
    72,709.22x = 109,051.50 × 20,106.40
  4. Step 4: Simplify right side
    72,709.22x = 2,192,633,079.60
  5. Step 5: Solve for x
    x = 2,192,633,079.60/72,709.22
  6. Step 6: Final answer
    x = 30,156.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.